25/22
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Ratio | 25/22 |
Factorization | 2^{-1} × 5^{2} × 11^{-1} |
Monzo | [-1 0 2 0 -1⟩ |
Size in cents | 221.30949¢ |
Names | ptolemismic whole tone, undecimal acute whole tone |
Color name | 1uyy2, luyoyo 2nd |
FJS name | [math]\text{A2}^{5,5}_{11}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 9.10329 |
Weil height (log_{2} max(n, d)) | 9.28771 |
Wilson height (sopfr (nd)) | 23 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.19865 bits |
[sound info] | |
open this interval in xen-calc |
25/22, the ptolemismic whole tone or undecimal acute whole tone, is an 11-limit interval. It is sharp of 9/8, the Pythagorean whole tone, by 100/99, the ptolemisma, hence the name. It is also flat of 8/7, the septimal major second, by 176/175, the valinorsma. Another interval close to it but simpler is 17/15, from which it is separated by 375/374.